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Finding the Third Proportional to 290,604 and 436,196

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Solution

The third proportional to 290,604 and 436,196 is: 654,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,604 : 436,196 = 436,196 : x
  2. Step 2: Convert to fraction form
    290,604/436,196 = 436,196/x
  3. Step 3: Cross multiply
    290,604x = 436,196 × 436,196
  4. Step 4: Simplify right side
    290,604x = 190,266,950,416
  5. Step 5: Solve for x
    x = 190,266,950,416/290,604
  6. Step 6: Final answer
    x = 654,729.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.